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Manifold Structures in Lie Groups by Yamid Yela is a document available to read on EtoBox.

What is Manifold Structures in Lie Groups about?

The document describes how manifold structures arise in classical linear groups such as GL(n,R) and their Lie subgroups. It defines key concepts such as Lie groups, Lie algebras, and homeomorphisms. It then shows that classical linear groups are Lie groups by constructing appropriate sets that are diffeomorphic under the exponential map, and identifying their Lie algebras. For example, it shows that GL(n,R) is a Lie group with Lie algebra gl(n,R), and that U(n) is a Lie subgroup of GL(n,C) with Lie algebra

Author

Yamid Yela

Language

EN